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The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting

Optical analogues of Gaussian wave packets and sub-Planck structures

K. Wódkiewicz, Ludmiła Praxmeyer, Piotr Wasylczyk, Czesław Radzewicz

Published Jan 1, 2007• 0 citations
Publisher

Abstract

Gaussian wave packets and optical pulses can exhibit interference, quantum entanglement and quantum sub-Planck structures in phase space. FROG measurements of light pulses reveals sub-Planck structures in phase space.
DOI
10.1364/cqo.2007.cmi2

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Exploiting the correspondence between the Wigner distribution function and the frequency-resolved optical gating (FROG) measurement, we experimentally demonstrate the existence of chessboardlike interference patterns with a time-bandwidth product smaller than that of a transform-limited pulse in the phase-space representation of compass states. Using superpositions of four electric pulses as the realization of compass states, we have shown via direct measurements that displacements leading to orthogonal states can be smaller than limits set by uncertainty relations. In the experiment we observe an exactly chronocyclic correspondence to the sub-Planck structure in the interference pattern appearing for the superposition of two Schr\"odinger-cat-like states in a position-momentum phase space.